Metrics for Graphics.Rendering.Chart.Drawing:drawTextsR from Chart-1.5.3

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 13 to 9 computations (30.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

ival-sub: 0.0ms (0% of total)

ival-add: 0.0ms (0% of total)

ival-mult: 0.0ms (0% of total)

const: 0.0ms (0% of total)

sample1.3s (51.8%)

Results

755.0ms	6568×	0	valid
163.0ms	1688×	0	infinite

Precisions

Click to see histograms. Total time spent on operations: 428.0ms

ival-mult: 280.0ms (65.4% of total)

ival-sub: 93.0ms (21.7% of total)

ival-add: 39.0ms (9.1% of total)

const: 13.0ms (3% of total)

backward-pass: 4.0ms (0.9% of total)

Bogosity

preprocess198.0ms (8.1%)

Algorithm

1×	egg-herbie

Rules

1071×	`fma-neg`
570×	`fma-define`
209×	`distribute-rgt-in`
189×	`unsub-neg`
126×	`sub-neg`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	40	399
1	100	391
2	228	381
3	636	353
4	1606	329
5	3164	329
6	3531	329
7	3594	329
8	3602	329
9	3602	329
10	4062	329
11	4062	329

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))
(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))
(+.f64 (.f64 (neg.f64 x) y) (.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) z))
(+.f64 (.f64 x (neg.f64 y)) (.f64 (-.f64 x #s(literal 1 binary64)) z))
(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) (neg.f64 z)))
(neg.f64 (+.f64 (.f64 (neg.f64 x) y) (.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) z)))
(neg.f64 (+.f64 (.f64 x (neg.f64 y)) (.f64 (-.f64 x #s(literal 1 binary64)) z)))
(neg.f64 (+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) (neg.f64 z))))
(+.f64 (.f64 y x) (.f64 (-.f64 y #s(literal 1 binary64)) z))
(+.f64 (.f64 z y) (.f64 (-.f64 z #s(literal 1 binary64)) x))
(+.f64 (.f64 x z) (.f64 (-.f64 x #s(literal 1 binary64)) y))

Outputs
(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))
(fma.f64 x y (*.f64 (+.f64 x #s(literal -1 binary64)) z))
(fma.f64 (+.f64 x #s(literal -1 binary64)) z (*.f64 x y))
(-.f64 (*.f64 x (+.f64 z y)) z)
(-.f64 (*.f64 x (+.f64 y z)) z)
(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))
(fma.f64 x y (*.f64 (+.f64 x #s(literal -1 binary64)) z))
(fma.f64 (+.f64 x #s(literal -1 binary64)) z (*.f64 x y))
(-.f64 (*.f64 x (+.f64 z y)) z)
(-.f64 (*.f64 x (+.f64 y z)) z)
(+.f64 (.f64 (neg.f64 x) y) (.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) z))
(fma.f64 (neg.f64 x) y (*.f64 z (+.f64 (neg.f64 x) #s(literal -1 binary64))))
(-.f64 (.f64 z (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (.f64 x y))
(-.f64 (.f64 z (-.f64 #s(literal -1 binary64) x)) (.f64 x y))
(-.f64 (*.f64 (neg.f64 x) (+.f64 y z)) z)
(neg.f64 (fma.f64 x (+.f64 y z) z))
(+.f64 (.f64 x (neg.f64 y)) (.f64 (-.f64 x #s(literal 1 binary64)) z))
(fma.f64 x (neg.f64 y) (*.f64 (+.f64 x #s(literal -1 binary64)) z))
(fma.f64 (+.f64 x #s(literal -1 binary64)) z (*.f64 x (neg.f64 y)))
(-.f64 (*.f64 (neg.f64 x) (-.f64 y z)) z)
(neg.f64 (fma.f64 x (-.f64 y z) z))
(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) (neg.f64 z)))
(fma.f64 x y (*.f64 (+.f64 x #s(literal -1 binary64)) (neg.f64 z)))
(-.f64 (.f64 x y) (.f64 (+.f64 x #s(literal -1 binary64)) z))
(fma.f64 x y (fma.f64 x (neg.f64 z) z))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(neg.f64 (+.f64 (.f64 (neg.f64 x) y) (.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) z)))
(neg.f64 (fma.f64 (neg.f64 x) y (*.f64 z (+.f64 (neg.f64 x) #s(literal -1 binary64)))))
(-.f64 (.f64 x y) (.f64 z (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))))
(fma.f64 z (+.f64 x #s(literal 1 binary64)) (*.f64 x y))
(+.f64 z (*.f64 x (+.f64 z y)))
(fma.f64 x (+.f64 y z) z)
(neg.f64 (+.f64 (.f64 x (neg.f64 y)) (.f64 (-.f64 x #s(literal 1 binary64)) z)))
(fma.f64 x y (*.f64 (+.f64 x #s(literal -1 binary64)) (neg.f64 z)))
(-.f64 (.f64 x y) (.f64 (+.f64 x #s(literal -1 binary64)) z))
(fma.f64 x y (fma.f64 x (neg.f64 z) z))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(neg.f64 (+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) (neg.f64 z))))
(fma.f64 x (neg.f64 y) (*.f64 (+.f64 x #s(literal -1 binary64)) z))
(fma.f64 (+.f64 x #s(literal -1 binary64)) z (*.f64 x (neg.f64 y)))
(-.f64 (*.f64 (neg.f64 x) (-.f64 y z)) z)
(neg.f64 (fma.f64 x (-.f64 y z) z))
(+.f64 (.f64 y x) (.f64 (-.f64 y #s(literal 1 binary64)) z))
(fma.f64 y x (*.f64 z (+.f64 y #s(literal -1 binary64))))
(fma.f64 x y (*.f64 z (+.f64 y #s(literal -1 binary64))))
(fma.f64 z (+.f64 y #s(literal -1 binary64)) (*.f64 x y))
(-.f64 (*.f64 y (+.f64 x z)) z)
(fma.f64 y (+.f64 x z) (neg.f64 z))
(+.f64 (.f64 z y) (.f64 (-.f64 z #s(literal 1 binary64)) x))
(fma.f64 z y (*.f64 x (+.f64 z #s(literal -1 binary64))))
(fma.f64 x (+.f64 z #s(literal -1 binary64)) (*.f64 y z))
(-.f64 (*.f64 z (+.f64 y x)) x)
(fma.f64 z (+.f64 x y) (neg.f64 x))
(+.f64 (.f64 x z) (.f64 (-.f64 x #s(literal 1 binary64)) y))
(fma.f64 x z (*.f64 y (+.f64 x #s(literal -1 binary64))))
(fma.f64 y (+.f64 x #s(literal -1 binary64)) (*.f64 x z))
(-.f64 (*.f64 x (+.f64 z y)) y)
(fma.f64 x (+.f64 y z) (neg.f64 y))

explain97.0ms (4%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
5	-	-	`(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))`
0	-	-	`(*.f64 x y)`
0	-	-	`x`
0	-	-	`z`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`y`
0	-	-	`(-.f64 x #s(literal 1 binary64))`
0	-	-	`(*.f64 (-.f64 x #s(literal 1 binary64)) z)`

Results

48.0ms	394×	256	valid
17.0ms	118×	256	infinite

Compiler

Compiled 68 to 38 computations (44.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 11.0ms (42.2% of total)

ival-sub: 10.0ms (38.4% of total)

ival-add: 4.0ms (15.3% of total)

const: 1.0ms (3.8% of total)

eval1.0ms (0%)

Compiler: Compiled 33 to 17 computations (48.5% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 (*.f64 x (+.f64 z y)) z)

Compiler

Compiled 10 to 6 computations (40% saved)

localize80.0ms (3.3%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(*.f64 x (+.f64 z y))

Results

18.0ms	197×	256	valid
5.0ms	59×	256	infinite

Compiler

Compiled 22 to 7 computations (68.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-add: 2.0ms (36.6% of total)

ival-mult: 2.0ms (36.6% of total)

ival-sub: 1.0ms (18.3% of total)

const: 0.0ms (0% of total)

series7.0ms (0.3%)

Counts

1 → 36

Calls

Call 1

Inputs
#<alt (*.f64 x (+.f64 z y))>

Outputs
#<alt (*.f64 x (+.f64 y z))>
#<alt (*.f64 x (+.f64 y z))>
#<alt (*.f64 x (+.f64 y z))>
#<alt (*.f64 x (+.f64 y z))>
#<alt (*.f64 x (+.f64 y z))>
#<alt (*.f64 x (+.f64 y z))>
#<alt (*.f64 x (+.f64 y z))>
#<alt (*.f64 x (+.f64 y z))>
#<alt (*.f64 x (+.f64 y z))>
#<alt (*.f64 x (+.f64 y z))>
#<alt (*.f64 x (+.f64 y z))>
#<alt (*.f64 x (+.f64 y z))>
#<alt (*.f64 x y)>
#<alt (+.f64 (.f64 x y) (.f64 x z))>
#<alt (+.f64 (.f64 x y) (.f64 x z))>
#<alt (+.f64 (.f64 x y) (.f64 x z))>
#<alt (*.f64 x z)>
#<alt (.f64 z (+.f64 x (/.f64 (.f64 x y) z)))>
#<alt (.f64 z (+.f64 x (/.f64 (.f64 x y) z)))>
#<alt (.f64 z (+.f64 x (/.f64 (.f64 x y) z)))>
#<alt (*.f64 x z)>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 x z)>
#<alt (+.f64 (.f64 x y) (.f64 x z))>
#<alt (+.f64 (.f64 x y) (.f64 x z))>
#<alt (+.f64 (.f64 x y) (.f64 x z))>
#<alt (*.f64 x y)>
#<alt (.f64 y (+.f64 x (/.f64 (.f64 x z) y)))>
#<alt (.f64 y (+.f64 x (/.f64 (.f64 x z) y)))>
#<alt (.f64 y (+.f64 x (/.f64 (.f64 x z) y)))>
#<alt (*.f64 x y)>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))>

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	(* x (+ z y))
1.0ms	z	@	-inf	(* x (+ z y))
1.0ms	x	@	0	(* x (+ z y))
0.0ms	z	@	inf	(* x (+ z y))
0.0ms	x	@	-inf	(* x (+ z y))

rewrite205.0ms (8.4%)

Algorithm

1×	batch-egg-rewrite

Rules

682×	`prod-diff`
630×	`log1p-expm1-u`
630×	`expm1-log1p-u`
533×	`unpow-prod-down`
304×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	122	22
2	1729	22

Stop Event

1×	node limit

Counts

1 → 60

Calls

Call 1

Inputs
(*.f64 x (+.f64 z y))

Outputs
(+.f64 (.f64 x y) (.f64 x z))
(+.f64 (.f64 x z) (.f64 x y))
(+.f64 #s(literal 0 binary64) (*.f64 x (+.f64 z y)))
(+.f64 (.f64 (.f64 x z) #s(literal 1 binary64)) (.f64 (.f64 x y) #s(literal 1 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 z y))) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 z y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 z y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 z y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 z y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 z y)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 x z) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (fma.f64 (.f64 x z) (.f64 x z) (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 x z) (.f64 x y)))))
(/.f64 (-.f64 (.f64 (.f64 x z) (.f64 x z)) (.f64 (.f64 x y) (.f64 x y))) (-.f64 (.f64 x z) (.f64 x y)))
(/.f64 (*.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 y (-.f64 y z) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (-.f64 z y))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) x) (fma.f64 y (-.f64 y z) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) x) (-.f64 z y))
(pow.f64 (*.f64 x (+.f64 z y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 z y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 z y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 z y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 z y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 z y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 z y)))))
(log.f64 (.f64 (exp.f64 (.f64 x y)) (exp.f64 (*.f64 x z))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 z y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 z y))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 z y))))
(exp.f64 (log.f64 (*.f64 x (+.f64 z y))))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 z y))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (+.f64 z y)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (+.f64 z y)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (+.f64 z y)))) #s(literal 2 binary64)))
(fma.f64 x z (*.f64 x y))
(fma.f64 x y (*.f64 x z))
(fma.f64 z x (*.f64 x y))
(fma.f64 y x (*.f64 x z))
(fma.f64 #s(literal 1 binary64) (.f64 x y) (.f64 x z))
(fma.f64 #s(literal 1 binary64) (.f64 x z) (.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (cbrt.f64 y) x) (.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) y) (.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) z) (.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (.f64 (cbrt.f64 z) x) (.f64 x y))
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) x) (.f64 x z))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) y) (.f64 x z))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) z) (.f64 x y))
(fma.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) x) (.f64 x y))
(fma.f64 (.f64 x z) #s(literal 1 binary64) (.f64 (*.f64 x y) #s(literal 1 binary64)))
(fma.f64 (.f64 (cbrt.f64 (.f64 x y)) (cbrt.f64 (.f64 x y))) (cbrt.f64 (.f64 x y)) (*.f64 x z))
(fma.f64 (.f64 (cbrt.f64 (.f64 x z)) (cbrt.f64 (.f64 x z))) (cbrt.f64 (.f64 x z)) (*.f64 x y))
(fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) (*.f64 x z))
(fma.f64 (sqrt.f64 (.f64 x z)) (sqrt.f64 (.f64 x z)) (*.f64 x y))
(fma.f64 (.f64 (sqrt.f64 x) (sqrt.f64 y)) (.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 x z))
(fma.f64 (.f64 (sqrt.f64 y) (sqrt.f64 x)) (.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 x z))
(fma.f64 (.f64 (sqrt.f64 z) (sqrt.f64 x)) (.f64 (sqrt.f64 z) (sqrt.f64 x)) (*.f64 x y))
(fma.f64 (.f64 (sqrt.f64 x) (sqrt.f64 z)) (.f64 (sqrt.f64 x) (sqrt.f64 z)) (*.f64 x y))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (.f64 x z))
(fma.f64 (.f64 x (sqrt.f64 y)) (sqrt.f64 y) (.f64 x z))
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (.f64 x z))
(fma.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x) (.f64 x z))
(fma.f64 (.f64 z (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (.f64 x y))
(fma.f64 (.f64 z (sqrt.f64 x)) (sqrt.f64 x) (.f64 x y))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (.f64 x y))
(fma.f64 (.f64 x (sqrt.f64 z)) (sqrt.f64 z) (.f64 x y))

simplify80.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

645×	`fma-neg`
515×	`fma-define`
391×	`distribute-lft-neg-in`
355×	`distribute-rgt-neg-in`
333×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	185	2369
1	441	2354
2	1251	2349
3	4134	2336

Stop Event

1×	node limit

Counts

96 → 75

Calls

Call 1

Inputs
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 y z))
(*.f64 x y)
(+.f64 (.f64 x y) (.f64 x z))
(+.f64 (.f64 x y) (.f64 x z))
(+.f64 (.f64 x y) (.f64 x z))
(*.f64 x z)
(.f64 z (+.f64 x (/.f64 (.f64 x y) z)))
(.f64 z (+.f64 x (/.f64 (.f64 x y) z)))
(.f64 z (+.f64 x (/.f64 (.f64 x y) z)))
(*.f64 x z)
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 x z)
(+.f64 (.f64 x y) (.f64 x z))
(+.f64 (.f64 x y) (.f64 x z))
(+.f64 (.f64 x y) (.f64 x z))
(*.f64 x y)
(.f64 y (+.f64 x (/.f64 (.f64 x z) y)))
(.f64 y (+.f64 x (/.f64 (.f64 x z) y)))
(.f64 y (+.f64 x (/.f64 (.f64 x z) y)))
(*.f64 x y)
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(+.f64 (.f64 x y) (.f64 x z))
(+.f64 (.f64 x z) (.f64 x y))
(+.f64 #s(literal 0 binary64) (*.f64 x (+.f64 z y)))
(+.f64 (.f64 (.f64 x z) #s(literal 1 binary64)) (.f64 (.f64 x y) #s(literal 1 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 z y))) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 z y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 z y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 z y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 z y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 z y)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 x z) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (fma.f64 (.f64 x z) (.f64 x z) (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 x z) (.f64 x y)))))
(/.f64 (-.f64 (.f64 (.f64 x z) (.f64 x z)) (.f64 (.f64 x y) (.f64 x y))) (-.f64 (.f64 x z) (.f64 x y)))
(/.f64 (*.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 y (-.f64 y z) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (-.f64 z y))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) x) (fma.f64 y (-.f64 y z) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) x) (-.f64 z y))
(pow.f64 (*.f64 x (+.f64 z y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 z y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 z y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 z y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 z y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 z y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 z y)))))
(log.f64 (.f64 (exp.f64 (.f64 x y)) (exp.f64 (*.f64 x z))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 z y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 z y))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 z y))))
(exp.f64 (log.f64 (*.f64 x (+.f64 z y))))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 z y))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (+.f64 z y)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (+.f64 z y)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (+.f64 z y)))) #s(literal 2 binary64)))
(fma.f64 x z (*.f64 x y))
(fma.f64 x y (*.f64 x z))
(fma.f64 z x (*.f64 x y))
(fma.f64 y x (*.f64 x z))
(fma.f64 #s(literal 1 binary64) (.f64 x y) (.f64 x z))
(fma.f64 #s(literal 1 binary64) (.f64 x z) (.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (cbrt.f64 y) x) (.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) y) (.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) z) (.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (.f64 (cbrt.f64 z) x) (.f64 x y))
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) x) (.f64 x z))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) y) (.f64 x z))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) z) (.f64 x y))
(fma.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) x) (.f64 x y))
(fma.f64 (.f64 x z) #s(literal 1 binary64) (.f64 (*.f64 x y) #s(literal 1 binary64)))
(fma.f64 (.f64 (cbrt.f64 (.f64 x y)) (cbrt.f64 (.f64 x y))) (cbrt.f64 (.f64 x y)) (*.f64 x z))
(fma.f64 (.f64 (cbrt.f64 (.f64 x z)) (cbrt.f64 (.f64 x z))) (cbrt.f64 (.f64 x z)) (*.f64 x y))
(fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) (*.f64 x z))
(fma.f64 (sqrt.f64 (.f64 x z)) (sqrt.f64 (.f64 x z)) (*.f64 x y))
(fma.f64 (.f64 (sqrt.f64 x) (sqrt.f64 y)) (.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 x z))
(fma.f64 (.f64 (sqrt.f64 y) (sqrt.f64 x)) (.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 x z))
(fma.f64 (.f64 (sqrt.f64 z) (sqrt.f64 x)) (.f64 (sqrt.f64 z) (sqrt.f64 x)) (*.f64 x y))
(fma.f64 (.f64 (sqrt.f64 x) (sqrt.f64 z)) (.f64 (sqrt.f64 x) (sqrt.f64 z)) (*.f64 x y))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (.f64 x z))
(fma.f64 (.f64 x (sqrt.f64 y)) (sqrt.f64 y) (.f64 x z))
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (.f64 x z))
(fma.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x) (.f64 x z))
(fma.f64 (.f64 z (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (.f64 x y))
(fma.f64 (.f64 z (sqrt.f64 x)) (sqrt.f64 x) (.f64 x y))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (.f64 x y))
(fma.f64 (.f64 x (sqrt.f64 z)) (sqrt.f64 z) (.f64 x y))

Outputs
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 y z))
(*.f64 x y)
(+.f64 (.f64 x y) (.f64 x z))
(*.f64 x (+.f64 y z))
(+.f64 (.f64 x y) (.f64 x z))
(*.f64 x (+.f64 y z))
(+.f64 (.f64 x y) (.f64 x z))
(*.f64 x (+.f64 y z))
(*.f64 x z)
(.f64 z (+.f64 x (/.f64 (.f64 x y) z)))
(*.f64 x (+.f64 y z))
(.f64 z (+.f64 x (/.f64 (.f64 x y) z)))
(*.f64 x (+.f64 y z))
(.f64 z (+.f64 x (/.f64 (.f64 x y) z)))
(*.f64 x (+.f64 y z))
(*.f64 x z)
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 x (+.f64 y z))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 x (+.f64 y z))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 x (+.f64 y z))
(*.f64 x z)
(+.f64 (.f64 x y) (.f64 x z))
(*.f64 x (+.f64 y z))
(+.f64 (.f64 x y) (.f64 x z))
(*.f64 x (+.f64 y z))
(+.f64 (.f64 x y) (.f64 x z))
(*.f64 x (+.f64 y z))
(*.f64 x y)
(.f64 y (+.f64 x (/.f64 (.f64 x z) y)))
(*.f64 x (+.f64 y z))
(.f64 y (+.f64 x (/.f64 (.f64 x z) y)))
(*.f64 x (+.f64 y z))
(.f64 y (+.f64 x (/.f64 (.f64 x z) y)))
(*.f64 x (+.f64 y z))
(*.f64 x y)
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 x (+.f64 y z))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 x (+.f64 y z))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 x (+.f64 y z))
(+.f64 (.f64 x y) (.f64 x z))
(*.f64 x (+.f64 y z))
(+.f64 (.f64 x z) (.f64 x y))
(*.f64 x (+.f64 y z))
(+.f64 #s(literal 0 binary64) (*.f64 x (+.f64 z y)))
(*.f64 x (+.f64 y z))
(+.f64 (.f64 (.f64 x z) #s(literal 1 binary64)) (.f64 (.f64 x y) #s(literal 1 binary64)))
(*.f64 x (+.f64 y z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 z y))) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 z y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 z y)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 y z))) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 y z))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 y z)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 z y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 z y)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 y z)))))
(*.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 y z)))) #s(literal 2 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 z y)))) #s(literal 1 binary64))
(*.f64 x (+.f64 y z))
(/.f64 (+.f64 (pow.f64 (.f64 x z) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (fma.f64 (.f64 x z) (.f64 x z) (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 x z) (.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (.f64 x z) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (fma.f64 (.f64 x z) (.f64 x z) (.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 x z)))))
(/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 x (.f64 (pow.f64 z #s(literal 2 binary64)) x) (.f64 (.f64 x y) (*.f64 x (-.f64 y z)))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (.f64 x (+.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) (.f64 (*.f64 x y) (-.f64 y z))))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (.f64 x (*.f64 x (fma.f64 y (-.f64 y z) (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 x z) (.f64 x z)) (.f64 (.f64 x y) (.f64 x y))) (-.f64 (.f64 x z) (.f64 x y)))
(*.f64 x (+.f64 y z))
(/.f64 (*.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 y (-.f64 y z) (pow.f64 z #s(literal 2 binary64))))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 x (fma.f64 y (-.f64 y z) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (*.f64 x (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (-.f64 z y))
(*.f64 x (+.f64 y z))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) x) (fma.f64 y (-.f64 y z) (pow.f64 z #s(literal 2 binary64))))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 x (fma.f64 y (-.f64 y z) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) x) (-.f64 z y))
(*.f64 x (+.f64 y z))
(pow.f64 (*.f64 x (+.f64 z y)) #s(literal 1 binary64))
(*.f64 x (+.f64 y z))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 z y))) #s(literal 3 binary64))
(*.f64 x (+.f64 y z))
(pow.f64 (pow.f64 (*.f64 x (+.f64 z y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x (+.f64 y z))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 z y))) #s(literal 2 binary64))
(*.f64 x (+.f64 y z))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 z y)) #s(literal 2 binary64)))
(*.f64 x (+.f64 y z))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 z y)))
(*.f64 x (+.f64 y z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 z y)))))
(*.f64 x (+.f64 y z))
(log.f64 (.f64 (exp.f64 (.f64 x y)) (exp.f64 (*.f64 x z))))
(*.f64 x (+.f64 y z))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 z y)) #s(literal 3 binary64)))
(*.f64 x (+.f64 y z))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 z y))))
(*.f64 x (+.f64 y z))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 z y))))
(*.f64 x (+.f64 y z))
(exp.f64 (log.f64 (*.f64 x (+.f64 z y))))
(*.f64 x (+.f64 y z))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 z y))) #s(literal 1 binary64)))
(*.f64 x (+.f64 y z))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (+.f64 z y)))) #s(literal 3 binary64)))
(*.f64 x (+.f64 y z))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (+.f64 z y)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 x (+.f64 y z))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (+.f64 z y)))) #s(literal 2 binary64)))
(*.f64 x (+.f64 y z))
(fma.f64 x z (*.f64 x y))
(*.f64 x (+.f64 y z))
(fma.f64 x y (*.f64 x z))
(*.f64 x (+.f64 y z))
(fma.f64 z x (*.f64 x y))
(*.f64 x (+.f64 y z))
(fma.f64 y x (*.f64 x z))
(*.f64 x (+.f64 y z))
(fma.f64 #s(literal 1 binary64) (.f64 x y) (.f64 x z))
(*.f64 x (+.f64 y z))
(fma.f64 #s(literal 1 binary64) (.f64 x z) (.f64 x y))
(*.f64 x (+.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (cbrt.f64 y) x) (.f64 x z))
(*.f64 x (+.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) y) (.f64 x z))
(*.f64 x (+.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) z) (.f64 x y))
(*.f64 x (+.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (.f64 (cbrt.f64 z) x) (.f64 x y))
(*.f64 x (+.f64 y z))
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) x) (.f64 x z))
(*.f64 x (+.f64 y z))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) y) (.f64 x z))
(*.f64 x (+.f64 y z))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) z) (.f64 x y))
(*.f64 x (+.f64 y z))
(fma.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) x) (.f64 x y))
(*.f64 x (+.f64 y z))
(fma.f64 (.f64 x z) #s(literal 1 binary64) (.f64 (*.f64 x y) #s(literal 1 binary64)))
(*.f64 x (+.f64 y z))
(fma.f64 (.f64 (cbrt.f64 (.f64 x y)) (cbrt.f64 (.f64 x y))) (cbrt.f64 (.f64 x y)) (*.f64 x z))
(*.f64 x (+.f64 y z))
(fma.f64 (.f64 (cbrt.f64 (.f64 x z)) (cbrt.f64 (.f64 x z))) (cbrt.f64 (.f64 x z)) (*.f64 x y))
(*.f64 x (+.f64 y z))
(fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) (*.f64 x z))
(*.f64 x (+.f64 y z))
(fma.f64 (sqrt.f64 (.f64 x z)) (sqrt.f64 (.f64 x z)) (*.f64 x y))
(*.f64 x (+.f64 y z))
(fma.f64 (.f64 (sqrt.f64 x) (sqrt.f64 y)) (.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 x z))
(*.f64 x (+.f64 y z))
(fma.f64 (.f64 (sqrt.f64 y) (sqrt.f64 x)) (.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 x z))
(*.f64 x (+.f64 y z))
(fma.f64 (.f64 (sqrt.f64 z) (sqrt.f64 x)) (.f64 (sqrt.f64 z) (sqrt.f64 x)) (*.f64 x y))
(*.f64 x (+.f64 y z))
(fma.f64 (.f64 (sqrt.f64 x) (sqrt.f64 z)) (.f64 (sqrt.f64 x) (sqrt.f64 z)) (*.f64 x y))
(*.f64 x (+.f64 y z))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (.f64 x z))
(*.f64 x (+.f64 y z))
(fma.f64 (.f64 x (sqrt.f64 y)) (sqrt.f64 y) (.f64 x z))
(*.f64 x (+.f64 y z))
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (.f64 x z))
(*.f64 x (+.f64 y z))
(fma.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x) (.f64 x z))
(*.f64 x (+.f64 y z))
(fma.f64 (.f64 z (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (.f64 x y))
(*.f64 x (+.f64 y z))
(fma.f64 (.f64 z (sqrt.f64 x)) (sqrt.f64 x) (.f64 x y))
(*.f64 x (+.f64 y z))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (.f64 x y))
(*.f64 x (+.f64 y z))
(fma.f64 (.f64 x (sqrt.f64 z)) (sqrt.f64 z) (.f64 x y))
(*.f64 x (+.f64 y z))

eval19.0ms (0.8%)

Compiler: Compiled 1061 to 386 computations (63.6% saved)

prune13.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	73	2	75
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	73	3	76

Accuracy

100.0%

Counts

76 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 x (+.f64 z y)) z)
▶	61.3%	(-.f64 (*.f64 x z) z)
▶	76.8%	(-.f64 (*.f64 x y) z)

Compiler

Compiled 26 to 16 computations (38.5% saved)

localize85.0ms (3.5%)

Results

23.0ms	221×	256	valid
3.0ms	35×	256	infinite

Compiler

Compiled 25 to 8 computations (68% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 4.0ms (56.7% of total)

ival-sub: 3.0ms (42.5% of total)

const: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	2	2
Done	1	1
Total	3	3

Accuracy

100.0%

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 x (+.f64 z y)) z)
✓	61.3%	(-.f64 (*.f64 x z) z)
✓	76.8%	(-.f64 (*.f64 x y) z)

Compiler

Compiled 55 to 30 computations (45.5% saved)

regimes10.0ms (0.4%)

Counts

4 → 1

Calls

Call 1

Inputs
(-.f64 (*.f64 x y) z)
(-.f64 (*.f64 x z) z)
(-.f64 (*.f64 x (+.f64 z y)) z)
(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))

Outputs
(-.f64 (*.f64 x (+.f64 z y)) z)

Calls

4 calls:

4.0ms	y
2.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))
2.0ms	x
2.0ms	z

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes9.0ms (0.4%)

Counts

2 → 3

Calls

Call 1

Inputs
(-.f64 (*.f64 x y) z)
(-.f64 (*.f64 x z) z)

Outputs
(-.f64 (*.f64 x z) z)
(-.f64 (*.f64 x y) z)
(-.f64 (*.f64 x z) z)

Calls

3 calls:

4.0ms	y
3.0ms	z
2.0ms	x

Results

Accuracy	Segments	Branch
79.6%	3	`x`
90.4%	3	`y`
92.1%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes1.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(-.f64 (*.f64 x y) z)

Outputs
(-.f64 (*.f64 x y) z)

Calls

2 calls:

0.0ms	z
0.0ms	y

Results

Accuracy	Segments	Branch
76.8%	1	`y`
76.8%	1	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

bsearch42.0ms (1.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	4.465944931376554e+19	2.3771534585133794e+35
18.0ms	-1.0535195805249627e+94	-5.798775890205181e+88

Results

24.0ms	259×	0	valid
4.0ms	45×	0	infinite

Compiler

Compiled 360 to 241 computations (33.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 5.0ms (48.5% of total)

ival-sub: 3.0ms (29.1% of total)

ival-add: 1.0ms (9.7% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

simplify13.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative`
4×	`sub-neg`
4×	`*-commutative`
2×	`if-if-or-not`
1×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	128
1	39	128
2	46	128
3	48	128
4	49	128

Stop Event

1×

saturated

Calls

Call 1

Inputs

(-.f64 (*.f64 x (+.f64 z y)) z)

(if (<=.f64 z #s(literal -99999999999999999475366575191804932315794610450682175621941694731908308538307845136842752 binary64)) (-.f64 (*.f64 x z) z) (if (<=.f64 z #s(literal 270000000000000000838860800 binary64)) (-.f64 (*.f64 x y) z) (-.f64 (*.f64 x z) z)))

(-.f64 (*.f64 x y) z)

Outputs
(-.f64 (*.f64 x (+.f64 z y)) z)
(if (<=.f64 z #s(literal -99999999999999999475366575191804932315794610450682175621941694731908308538307845136842752 binary64)) (-.f64 (.f64 x z) z) (if (<=.f64 z #s(literal 270000000000000000838860800 binary64)) (-.f64 (.f64 x y) z) (-.f64 (*.f64 x z) z)))
(if (or (<=.f64 z #s(literal -99999999999999999475366575191804932315794610450682175621941694731908308538307845136842752 binary64)) (not (<=.f64 z #s(literal 270000000000000000838860800 binary64)))) (-.f64 (.f64 x z) z) (-.f64 (.f64 x y) z))
(-.f64 (*.f64 x y) z)

soundness270.0ms (11.1%)

Rules

1071×	`fma-neg`
570×	`fma-define`
209×	`distribute-rgt-in`
189×	`unsub-neg`
126×	`sub-neg`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	40	399
1	100	391
2	228	381
3	636	353
4	1606	329
5	3164	329
6	3531	329
7	3594	329
8	3602	329
9	3602	329
10	4062	329
11	4062	329

Stop Event

1×	done
1×	saturated

Compiler

Compiled 133 to 55 computations (58.6% saved)

preprocess42.0ms (1.7%)

Compiler: Compiled 92 to 50 computations (45.7% saved)

Graphics.Rendering.Chart.Drawing:drawTextsR from Chart-1.5.3

analyze0.0ms (0%)

sample1.3s (51.8%)

preprocess198.0ms (8.1%)

explain97.0ms (4%)

eval1.0ms (0%)

prune1.0ms (0%)

localize80.0ms (3.3%)

series7.0ms (0.3%)

rewrite205.0ms (8.4%)

simplify80.0ms (3.3%)

eval19.0ms (0.8%)

prune13.0ms (0.5%)

localize85.0ms (3.5%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes10.0ms (0.4%)

regimes9.0ms (0.4%)

regimes1.0ms (0%)

bsearch42.0ms (1.7%)

simplify13.0ms (0.5%)

soundness270.0ms (11.1%)

preprocess42.0ms (1.7%)

end0.0ms (0%)

Profiling